Surface Area Calculation Problems for Solid Shapes. - page 7 of 52
Number of problems found: 1034
- Alaska vs Montana
Alaska is the largest state in the United States and has a surface area of approximately 588,000 square miles. Montana has a surface area of approximately 25% of the surface area of Alaska. What is the approximate surface area of Montana? - Surface and volume
Find the surface and volume of a cuboid whose dimensions are 1 m, 50 cm, and 6 dm. - Eight
Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls or one big ball? - Two cubes
The surfaces of two cubes, one of which has an edge of 22 cm longer than the second, differ by 19272 cm². Calculate the edge length of both cubes. - Cylindrical container
An open-topped cylindrical container has a volume of V = 3140 cm³. Find the cylinder dimensions (radius of base r, height v) so that the least material is needed to form the container. - Cube 1-2-3
Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) The perimeter of wall ABCD is 22 cm c) the sum of the lengths of all cube edges is 30 cm. - Block edge
The block's surface area is 94 cm². The lengths of its two edges are a = 3 cm and b = 5 cm. Calculate the length of its third edge. Let's say: From the formula for the block surface, first calculate c. - Cube surface volume
A) The wooden cube has an edge 14.7 cm long. Calculate its surface area and volume. B) The metal cube's inner edge is 13.6 cm long. How many cm of water can fit in it? - Pool
How many hectoliters of water is in a cuboid pool (a = 25m, b = 8m) if the area of the wetted walls is 279.2 m²? - Equilateral cylinder
A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface half larger than an inscribed sphere. - Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism? - Rotary cylinder
In the rotary cylinder, it is given: surface S = 96 cm² and volume V = 192 cm cubic. Calculate its radius and height. - Cube volume edge
1. Calculate the volume of a cube whose edge is 3.6 dm long. 2. Calculate the edge's size if you know its surface S = 2166 mm². - The ball
The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger? - Block Volume Surface Ratios
The volume of the block is 5760 cm³. For the dimensions of a given block, a: b = 4:3, b: c = 2:5 Calculate its surface. - Large Cube Surface
Fifty small metal cubes with an edge length of 2 cm were deformed, and we made one large cube from this material. What is its surface? - Cylinder height
Calculate the height of the cylinder based on its surface S and the radius of the base r. a) r = 2 cm, S = 120 cm square b) r = 7 dm, S = 4,000 dm square c) r = 0.2 m, S = 20 square meters - The cylinder
In a rotating cylinder, it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder. - Three cubes
The body was created by gluing three identical cubes. Its volume is 192 cm³. What is its surface in dm²? - Iron sphere
Iron sphere weights 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere.
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